President Donald Trump unleashed an early-morning attack Friday on CNN, tweeting at 3:14 a.m. that the "lowly rated" news organization can "criticize me at will," but when "I criticize them they go wild and scream, “it’s just not Presidential!”

Some argue Trump's rhetoric is partially to blame for attempted attacks – involving at least 12 bomb-like devices discovered in Washington, New York, Delaware, Florida and California – since many of the intended recipients of the suspicious packages are favorite targets of the president.

The White House has pushed back on the claim that Trump's rhetoric has caused violence, with Press Secretary Sarah Huckabee Sanders saying Trump "certainly isn't responsible" for the threats.

On Thursday evening, CNN's Jim Acosta tweeted to Trump's son, Donald Trump Jr., that "because of your father's rhetoric (calling us the enemy of the people), we are all very worried that somebody is going to get hurt."

Don please understand everybody at CNN was terrified for members of your family when they were attacked. Please also understand that because of your father’s rhetoric (calling us the enemy of the people), we are all very worried that somebody is going to get hurt. https://t.co/vckpMoH2Wg

“Presidential?” Cuomo said. “Sarah, you keep using that word. As Inigo Montoya said, ’You keep on using that word. I do not think it means what you think it means.”

Trump's Friday tweet came two days after CNN's New York offices were evacuated following the discovery of a suspicious package addressed to former CIA director John Brennan, who often appears on the network.

The package was one of the 10 addressed to liberal political leaders, including former President Barack Obama, former Secretary of State Hillary Clinton and former Vice President Joe Biden.

Funny how lowly rated CNN, and others, can criticize me at will, even blaming me for the current spate of Bombs and ridiculously comparing this to September 11th and the Oklahoma City bombing, yet when I criticize them they go wild and scream, “it’s just not Presidential!”

Trump on Wednesday initially pledged to "get to the bottom" of the suspicious packages. He also said that "in these times, we have to unify."

"We have to come together and send one very clear, strong, unmistakable message that acts or threats of political violence of any kind have no place in the United States of America," Trump said.

But at a Wednesday rally in Wisconsin, he argued that the media was responsible for sowing division in America. “The media also has a responsibility to set a civil tone and to stop the endless hostility and constant negative — and oftentimes, false — attacks and stories."

And on Thursday morning, Trump doubled down on his criticism of news organizations, tweeting that "a very big part of the Anger we see today in our society is caused by the purposely false and inaccurate reporting of the Mainstream Media."

A very big part of the Anger we see today in our society is caused by the purposely false and inaccurate reporting of the Mainstream Media that I refer to as Fake News. It has gotten so bad and hateful that it is beyond description. Mainstream Media must clean up its act, FAST!